Solution 1.2:1c

From Förberedande kurs i matematik 1

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We multiply the top and bottom of each fraction by the other fraction's denominator so that they have a common denominator,
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<center> [[Image:1_2_1c.gif]] </center>
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<math>\frac{1}{6}-\frac{2}{5}=\frac{1\centerdot 5}{6\centerdot 5}-\frac{2\centerdot 6}{5\centerdot 6}=\frac{5}{30}-\frac{12}{30}</math>
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Then the numerators can be subtracted:
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<math>\frac{5}{30}-\frac{12}{30}=\frac{5-12}{30}=\frac{-7}{30}=-\frac{7}{30}</math>

Revision as of 11:37, 11 September 2008

We multiply the top and bottom of each fraction by the other fraction's denominator so that they have a common denominator,


\displaystyle \frac{1}{6}-\frac{2}{5}=\frac{1\centerdot 5}{6\centerdot 5}-\frac{2\centerdot 6}{5\centerdot 6}=\frac{5}{30}-\frac{12}{30}


Then the numerators can be subtracted:


\displaystyle \frac{5}{30}-\frac{12}{30}=\frac{5-12}{30}=\frac{-7}{30}=-\frac{7}{30}

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